Preservation of approximative properties of Chebyshev sets and suns in a plane
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Publication:2513010
DOI10.3103/S0027132208050057zbMath1304.41018MaRDI QIDQ2513010
Publication date: 2 February 2015
Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)
Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20)
Related Items (6)
Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Solarity and connectedness of sets in the space and in finite-dimensional polyhedral spaces ⋮ Bounded strict solar property of strict suns in the space \(C(Q)\) ⋮ Selections of the best and near-best approximation operators and solarity ⋮ Geometric structure of Chebyshev sets and suns in three-dimensional spaces with a cylindrical norm ⋮ Local solarity of suns in normed linear spaces
Cites Work
- On suns and cosuns in finite dimensional normed real vector spaces
- Fixpunktmengen von Kontraktionen in endlichdimensionalen normierten Räumen
- Excursions into combinatorial geometry
- Monotone path-connectedness of Chebyshev sets in the space $ C(Q)$
- Preservation of approximative properties of subsets of Chebyshev sets and suns in $ \ell^\infty (n)$
- An Introduction to Metric Spaces and Fixed Point Theory
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